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Multiple linear regression (MLR) extends simple linear regression to model the relationship between one dependent variable and multiple independent variables. It is widely used in econometrics, business analytics, and social sciences to identify trends and make predictions, helping to interpret complex data and inform decision-making.

Application of Multiple Linear Regression

MLR can be used to examine how various factors such as education level, years of work experience, and industry type collectively impact an individual's salary. Alternatively, it can assess how variables like advertising expenditure, pricing strategies, and market competition affect a company's sales revenue. This ability to incorporate multiple predictors enables researchers to capture the complexity of real-world scenarios more effectively.

Below is a graph showing how the data is collected using a 3D graph, with three different variables:

Figure 21. 3D plot illustrating the relationship between miles per gallon (MPG), weight, and horsepower of vehicles. The surface plot highlights the trend that, as weight and horsepower increase, MPG tends to decrease, showing the combined effect of these two variables on fuel efficiency.

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